Question

A line passes through the points (-5, 2) and (10.-1). Which is the equation of the line?

y=-3x+1
lo y = 13x + 3
y=-5x - 23
y = 5x + 27
O

Answer 1

y = -1/5x +1

Explanation:

First we need to find the slope

m = (y2-y1)/ (x2-x1)

= (-1 -2)/(10 - -5)

= -3/(10+5)

= -3/15

= -1/5

Then we can use point slope form

y = mx+b where m is the slope and b is the y intercept

y = -1/5x +b

Substitute a point into the equation

2 = -1/5(-5) +b

2 = 1 +b

Subtract 1 from each side

1 =b

y = -1/5x +1